What are some examples of systems with time-dependent Hamiltonians?

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SUMMARY

The discussion centers on the exploration of time-dependent Hamiltonians, specifically in the context of quantum mechanics. A notable example provided is an electron subjected to a rotating magnetic field represented by the equation B(t) = sin(ωt) x + cos(ωt) y. This configuration introduces time dependency in the Hamiltonian, which is essential for studying the time evolution operator. Participants are encouraged to share additional examples or configurations that exhibit similar time-dependent characteristics.

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  • Understanding of quantum mechanics principles
  • Familiarity with Hamiltonian mechanics
  • Knowledge of time evolution operators
  • Basic concepts of magnetic fields in physics
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  • Research the mathematical formulation of time-dependent Hamiltonians
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Students and researchers in quantum mechanics, physicists studying Hamiltonian dynamics, and anyone interested in the effects of time-dependent fields on quantum systems.

diegzumillo
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Hi all!
I'm starting to study the time evolution operator, and now i came up with this objective... i need a time dependent hamiltonian! since no fundamental interaction is time dependent i need to think of a system in such a configuration that i have a time dependency on H.
Anyway, if anyone has any idea i'd be very happy to discuss them! :D
 
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Not fundamental, but effective: An electron in a rotating magnetic field:
[tex]\mathbf{B}(t) = sin(\omega t) \mathbf{x} + \cos(\omega t) \mathbf{y}[/tex]
 

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